Solve (-2)^2-4(1)(2n)=m

$$( - 2 ) ^ { 2 } - 4 ( 1 ) ( 2 n ) = m$$

Solve for m

$$m=4-8n$$

Solution Steps

Calculate -2 to the power of 2 and get 4.

$$4-4\times 1\times 2n=m$$

Multiply 4 and 1 to get 4.

$$4-4\times 2n=m$$

Multiply 4 and 2 to get 8.

$$4-8n=m$$

Swap sides so that all variable terms are on the left hand side.

$$m=4-8n$$

Solve for n

$$n=-\frac{m}{8}+\frac{1}{2}$$

Steps for Solving Linear Equation

Calculate -2 to the power of 2 and get 4.

$$4-4\times 1\times 2n=m$$

Multiply 4 and 1 to get 4.

$$4-4\times 2n=m$$

Multiply 4 and 2 to get 8.

$$4-8n=m$$

Subtract 4 from both sides.

$$-8n=m-4$$

Divide both sides by -8.

$$\frac{-8n}{-8}=\frac{m-4}{-8}$$

Dividing by -8 undoes the multiplication by -8.

$$n=\frac{m-4}{-8}$$

Divide m-4 by -8.

$$n=-\frac{m}{8}+\frac{1}{2}$$